Problem: A circle is inscribed in a triangle with sides of lengths 8,13, and 17. Let the segments of the side of length 8, made by a point of tangency, be r and s, with r<s. Then the ratio r:s is:
Answer Choices:
A. 1:3
B. 2:5
C. 1:2
D. 2:3
E. 3:4
Solution:
(8−r)+(13−r)−17,r=2 s−8−r+6∴r:s=1:3